Uniqueness of solution to a free boundary problem from combustion
Uniqueness of solution to a free boundary problem from combustion
复制标题
燃烧自由边界问题解的唯一性
DOI：
10.1090/s0002-9947-00-02663-5
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发表时间：
2000
影响因子：
1.3
通讯作者：
N. Wolanski
中科院分区：
文献类型：
--
作者：
C. Lederman;J. Vázquez;N. Wolanski
我们研究热传播自由边界问题的不同解之间的唯一性和一致性，经典表述如下：找到一个连续函数u(x, t)≥0，定义在域D∧RN x （0, t）上，并且在D∩{u >}中∆u+∑ai uxi−ut = 0。我们还假设正集D∩∂{u > 0}的内边界，即所谓的自由边界，是一个正则超曲面，其上满足以下条件：
We investigate the uniqueness and agreement between different kinds of solutions for a free boundary problem in heat propagation that in classical terms is formulated as follows: to find a continuous function u(x, t) ≥ 0, defined in a domain D ⊂ RN × (0, T ) and such that ∆u+ ∑ ai uxi − ut = 0 in D ∩ {u > 0}. We also assume that the interior boundary of the positivity set, D∩∂{u > 0}, so-called free boundary, is a regular hypersurface on which the following conditions are satisfied: